3401475872256 has 720 divisors, whose sum is σ = 12491226613008. Its totient is φ = 881130700800.

The previous prime is 3401475872251. The next prime is 3401475872257. The reversal of 3401475872256 is 6522785741043.

3401475872256 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 7 + 587 + 2 + 2 + 56 = 666.

3401475872256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401475872251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1045641126 + ... + 1045644378.

Almost surely, 2^{3401475872256} is an apocalyptic number.

3401475872256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401475872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245613306504).

3401475872256 is an abundant number, since it is smaller than the sum of its proper divisors (9089750740752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401475872256 is a wasteful number, since it uses less digits than its factorization.

3401475872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 3401475872256 in words is "three trillion, four hundred one billion, four hundred seventy-five million, eight hundred seventy-two thousand, two hundred fifty-six".